33132215340 has 360 divisors, whose sum is σ = 121075264128. Its totient is φ = 7325821440.

The previous prime is 33132215321. The next prime is 33132215341. The reversal of 33132215340 is 4351223133.

33132215340 is a `hidden beast` number, since 3 + 313 + 2 + 2 + 1 + 5 + 340 = 666.

It is a super-2 number, since 2×33132215340² (a number of 22 digits) contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33132215341) by changing a digit.

It is a polite number, since it can be written in 119 ways as a sum of consecutive naturals, for example, 13396344 + ... + 13398816.

Almost surely, 2^33132215340 is an apocalyptic number.

33132215340 is a gapful number since it is divisible by the number (30) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33132215340, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (60537632064).

33132215340 is an abundant number, since it is smaller than the sum of its proper divisors (87943048788).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

33132215340 is a wasteful number, since it uses less digits than its factorization.

33132215340 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 2547 (or 2521 counting only the distinct ones).

The product of its (nonzero) digits is 6480, while the sum is 27.

Adding to 33132215340 its reverse (4351223133), we get a palindrome (37483438473).

The spelling of 33132215340 in words is "thirty-three billion, one hundred thirty-two million, two hundred fifteen thousand, three hundred forty".